Two point charges are fixed on the y axis: a negative point charge q1 = -28 µC a

Question

Two point charges are fixed on the y axis: a negative point charge q1 = -28 µC at y1 = +0.20 m and a positive point charge q2 at y2 = +0.33 m. A third point charge q = +7.6 µC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 28 N and points in the +y direction. Determine the magnitude of q2.

____C

Explanation / Answer

Fq1q - Fq2q = 24 => (9x10^9 x 22x10^-6 x 7.6x10^-6)/(0.2)^2 - (9x10^9 x q2 x 7.6x10^-6)/(0.38)^2 = 24 37.62 - 473.68x10^3 q2 = 24 => q2 = (37.62 - 24) / 473.68x10^3 = 28.75 x 10^-6 C = 28.75 µC

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